Aviral purchased a computer for Rs. 47,000. He had to sell it for Rs. 45,800. Find his profit or loss per cent.

Answer

To solve the problem step by step, we will calculate the loss and then find the loss percentage.

### Step 1: Identify the Cost Price (CP) and Selling Price (SP)
- Cost Price (CP) = Rs. 47,000
- Selling Price (SP) = Rs. 45,800

**Hint:** Remember that the cost price is the amount paid to purchase the item, while the selling price is the amount received from selling it.

### Step 2: Calculate the Loss
To find the loss, we subtract the selling price from the cost price:
\[ \text{Loss} = \text{Cost Price} - \text{Selling Price} \]
\[ \text{Loss} = 47,000 - 45,800 \]
\[ \text{Loss} = 1,200 \]

**Hint:** If the selling price is less than the cost price, you will have a loss.

### Step 3: Calculate the Loss Percentage
The formula for loss percentage is:
\[ \text{Loss Percentage} = \left( \frac{\text{Loss}}{\text{Cost Price}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Loss Percentage} = \left( \frac{1,200}{47,000} \right) \times 100 \]

**Hint:** To find the percentage, you multiply the fraction by 100.

### Step 4: Perform the Calculation
Calculating the fraction:
\[ \frac{1,200}{47,000} \approx 0.02553 \]
Now, multiply by 100 to get the percentage:
\[ \text{Loss Percentage} \approx 0.02553 \times 100 \approx 2.553 \]

**Hint:** When calculating percentages, ensure you convert the decimal to a percentage by multiplying by 100.

### Step 5: Round the Result
Rounding the loss percentage to two decimal places:
\[ \text{Loss Percentage} \approx 2.55\% \]

**Hint:** Rounding helps in presenting the final answer more clearly.

### Final Answer
Aviral incurred a loss of approximately **2.55%** on the sale of the computer.

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